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• Loyc
• Geometry
• PointMath

C# Class Loyc.Geometry.PointMath

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Public Methods

Method	Description
Abs ( this v ) : Vector	Gets the absolute value of the vector's individual components.
Abs ( this v ) : System.Vector3	Gets the absolute value of the vector's individual components.
Add ( this a, System.Point b ) : System.Point
Add ( this a, Vector b ) : System.Point
Add ( this a, Point3 b ) : Point3
Add ( this a, System.Vector3 b ) : Point3
Add ( this a, Vector b ) : Vector
Add ( this a, System.Vector3 b ) : System.Vector3
Angle ( this v ) : double	Gets the angle from 0 to 2*PI of the vector, where (1,0) has angle 0 and (0,1) has angle PI/2.
AngleDeg ( this v ) : double	Gets the angle from 0 to 360 of the vector, where (1,0) has angle 0 and (0,1) has angle 90.
ComputeConvexHull ( IEnumerable points ) : IListSource	Computes the convex hull of a polygon, in clockwise order in a Y-up coordinate system (counterclockwise in a Y-down coordinate system). Uses the Monotone Chain algorithm, a.k.a. Andrew's Algorithm.
ComputeConvexHull ( List points, bool sortInPlace ) : IListSource
Cross ( this a, Vector b ) : T	Computes the "cross product" of a pair of 2D vectors. This is not a general cross product, as cross product is only a 3D concept, but this operator acts as though the two points were in the Z=0 plane and returns the Z coordinate of the cross product: b.X * a.Y - b.Y * a.X. This value is zero if the vectors are parallel; it is a.Length * b.Length or -a.Length * b.Length if the vectors are perpendicular. One use of cross product is to determine whether the angle between two lines is greater or less than 180 degrees, corresponding to return values less or greater than zero.
Cross ( this a, System.Vector3 b ) : System.Vector3	Computes the cross product of a pair of 3D vectors.
Div ( this p, T factor ) : System.Point
Div ( this p, T factor ) : Point3
Div ( this p, T factor ) : Vector
Div ( this p, T factor ) : System.Vector3
Dot ( this a, Vector b ) : T	Dot product. a*b equals lhs.Length*rhs.Length*Cos(theta) if theta is the angle between two vectors.
Dot ( this a, System.Vector3 b ) : T
Length ( this v ) : T	Gets the length of the vector.
Mul ( this p, T factor ) : System.Point
Mul ( this p, T factor ) : Point3
Mul ( this p, T factor ) : Vector
Mul ( this p, T factor ) : System.Vector3
MulDiv ( this v, T mul, T div ) : Vector
MulDiv ( this v, T mul, T div ) : System.Vector3
Neg ( this a ) : Vector	Reverses a vector.
Neg ( this a ) : System.Vector3	Reverses a vector.
Normalized ( this v ) : Vector
Normalized ( this v ) : System.Vector3
PolarToPoint ( T magnitude, double radians ) : Point
PolarToVector ( T magnitude, double radians ) : Vector
Quadrance ( this v ) : T	Gets the square of the length of the vector.
Rot90 ( this a ) : Vector	Rotates a vector 90 degrees. Rotatation is clockwise if increasing Y goes downward, counter- clockwise if increasing Y goes upward. If the vector represents the direction of a line, the result also represents the coefficients (a,b) of the implicit line equation aX + bY + c = 0.
Shl ( this p, int amt ) : System.Point
Shl ( this p, int amt ) : Point3
Shl ( this p, int amt ) : Vector
Shl ( this p, int amt ) : System.Vector3
Shr ( this p, int amt ) : System.Point
Shr ( this p, int amt ) : Point3
Shr ( this p, int amt ) : Vector
Shr ( this p, int amt ) : System.Vector3
Sub ( this a, Vector b ) : System.Point
Sub ( this a, System.Point b ) : Vector
Sub ( this a, Vector b ) : Vector
Sub ( this a, Point3 b ) : System.Vector3
Sub ( this a, System.Vector3 b ) : System.Vector3
Vector ( this seg ) : Vector	Returns seg.B - seg.A.

Method Details